This paper is concerned with control of nonholonomic systems. As is well known, symmetric affine system is unable to control with continuous time invariant state feedback control. In this paper we apply PI Control to a setpoint servo problem for the symmetric affine system. PI control posesses two adjustable parameters
Kp, KI-, and in addition the so-called manual reset quantity
m0. (Note that adjusting
m0 is equivallent to adjusting an initial condition z
0 of integrator z = e.) By the PI control with the manual reset
m0 appropriately chosen, not only controllable part of symmetric affine system is asymptotically stabilized but also uncontrollable part can be made to converge to the desired point. Applying the PI control with
m0, we can control the symmetric affine system without transforming into the “chained form”. We confirmed the effectiveness of the proposed method by the simulation results for various plants like a two-wheeled vehicle and a four-wheeled vehicle, a flying robot, etc.
抄録全体を表示